List of top Mathematics Questions on Laplace transforms asked in AP PGECET

Which of the options correctly represents the Laplace inverse of \( \dfrac{2}{s^3} \)?
If the Laplace transform of a function \( f(t) \) is given by \[ \frac{2s + 1}{(s + 1)(s + 2)} \] then \( f(0) \) is equal to ______
If the Laplace transform of a function \( f(t) \) is given by \( \frac{2s + 1}{(s + 1)(s + 2)} \), then \( f(0) \) is equal to ...........
The Laplace transform of \( e^{-2t} \cos(\sqrt{2} t) \) is .......